If your winning bet exceeds the bookmaker's maximum payout, the bookmaker will usually pay out the maximum amount allowed by their rules. This is often stated in the terms and conditions when you place a bet. It's important to be aware of these limits before placing a bet, as it can impact the potential payout.
So, you won't get banned as long as you're a legitimate player on a real winning streak. That said, casinos do need to protect themselves. So, if they suspect that a consistent winning streak is due to something like card counting or even cheating, they may ban you.